How many ways are there to place 55 differently colored balls into 5 identical urns if the urns can be empty?
* All 5 balls have to be used.
* An urn could contain multiple balls.
+680 https://artofproblemsolving.com/videos/counting/chapter5/78
https://artofproblemsolving.com/videos/counting/chapter5/79
This is a distinguishablility problem, I can't help you but these videos might.
